AFCAT Exam (II)- 2023 Defence Question Paper

AFCAT Exam (II)- 2023

AFCAT Exam (II)- 2023 Defence Questions

31.
A piece of string is 40 cm long. It is cut into three pieces. The longest piece is three times as long as the middle-sized piece, and the shortest piece is 23 cm shorter than the longest piece. Find the length of the shortest piece (in cm).
A.
27
B.
5
C.
4
D.
9
ANSWER :
C. 4
32.
A house contains a diamond, gold, and silver. The ratio of all excluding diamond to all excluding gold and all excluding silver is 47:27:17. Find the part of gold in it.
A.
\( \frac{37}{2} \)
B.
\( \frac{48}{91} \)
C.
\( \frac{37}{91} \)
D.
\( \frac{48}{5} \)
ANSWER :
C. \( \frac{37}{91} \)
33.
Find (in Rs) the cost price if an article sold for 840 at a profit, equal to double the loss of the article sold at 600 rupees.
A.
640
B.
660
C.
680
D.
685
ANSWER :
C. 680
34.
When 10 girls left, the ratio of boys and girls became 2:1, and if afterwards 20 boys left, the ratio became 4:3. Find the sum of boys and girls.
A.
120
B.
180
C.
100
D.
150
ANSWER :
C. 100
35.
Abhijit and Saurav can do work in 15 days, Piyush and Saurav in 20, and Abhijit and Piyush in 10 days. In how many days Piyush will complete the work alone?
A.
21
B.
22
C.
23
D.
24
ANSWER :
D. 24
36.
The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:
A.
\( 0^{\circ} \)
B.
\( 10^{\circ} \)
C.
\( 5^{\circ} \)
D.
\( 20^{\circ} \)
ANSWER :
B. \( 10^{\circ} \)
37.
The length of the minute hand of a clock is 7 cm. In how many minutes will its tip cover 11 cm? (Take \( \pi = \frac{22}{7} \))
A.
14 min
B.
15 min
C.
16 min
D.
20 min
ANSWER :
B. 15 min
38.
How many kilograms of wheat costing Rs. 8/kg must be mixed with 36 kg of rice costing Rs. 5.40/kg so that 20% gain may be obtained by selling the mixture at Rs. 7.20/kg?
A.
7.67 kg
B.
9.08 kg
C.
10.8 kg
D.
8.67 kg
ANSWER :
C. 10.8 kg
39.
A person gives a loan at a 12% annual rate. Due to calculation error, he adds interest for six months in principal; what will be the effective rate?
A.
12.36 %
B.
12.26 %
C.
12.16 %
D.
12.06 %
ANSWER :
A. 12.36 %
40.
If the numerator of a fraction is increased by 400% and the denominator is increased by 500%, the resultant fraction is \( \frac{20}{27} \). What is the original fraction?
A.
\( \frac{3}{4} \)
B.
\( \frac{8}{9} \)
C.
\( \frac{11}{12} \)
D.
Cannot be determined
ANSWER :
B. \( \frac{8}{9} \)